spectively, connected by a cord wrap nat ball B rolls without slipping on a ction, µz = 0.3.

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Figure 5 shows two moving objects (crate A and ball B) with masses, ma and mg of 0.9 kg and
0.5 kg, respectively, connected by a cord wrapped around a massless and frictionless pulley.
Assume that ball B rolls without slipping on a rough inclined surface with the coefficient of
kinetic friction, µk = 0.3.
(a)
Compute the total kinetic energy of the system if crate A moves downward with a
velocity, va = 10 ms".
(b)
Find the final velocity of both objects once crate A has descended 0.3 m if boih objects
are initially released from rest.
B
A
0 = 25°
Figure 5: Mass on inclined surface
(c)
Figure 6 shows a 15 kg disk (radius, r = 0.15 m and radius of gyration, kg = 0.10 m)
rotating about pin A in the vertical plane with an initial angular velocity of w = 3.5 rads
' when 0 = 0°. Compute the angular velocity, w of the disk when it is at the position of
0 = 90°.
Figure 6: Rotating disk
Transcribed Image Text:Figure 5 shows two moving objects (crate A and ball B) with masses, ma and mg of 0.9 kg and 0.5 kg, respectively, connected by a cord wrapped around a massless and frictionless pulley. Assume that ball B rolls without slipping on a rough inclined surface with the coefficient of kinetic friction, µk = 0.3. (a) Compute the total kinetic energy of the system if crate A moves downward with a velocity, va = 10 ms". (b) Find the final velocity of both objects once crate A has descended 0.3 m if boih objects are initially released from rest. B A 0 = 25° Figure 5: Mass on inclined surface (c) Figure 6 shows a 15 kg disk (radius, r = 0.15 m and radius of gyration, kg = 0.10 m) rotating about pin A in the vertical plane with an initial angular velocity of w = 3.5 rads ' when 0 = 0°. Compute the angular velocity, w of the disk when it is at the position of 0 = 90°. Figure 6: Rotating disk
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